What is the area of the trapezoid? a trapezoid with bottom side length of 12 meters, height of 10 meters, and top side length of 8 meters.

Answer:

A, the ratio stays the same for every pair.

Step-by-step explanation:

Answer:

0.41666666666

Step-by-step explanation:

Answer:

The value is 5/12

The students of Ace College found a nearly perfect positive correlation between two variables in their research study. The nearly perfect positive correlation suggests that the two variables are closely related and move in sync with each other.

In their research study, the students of Ace College discovered a nearly perfect positive correlation between the two variables they were investigating. The coefficient of correlation they arrived at is known as the Pearson correlation coefficient, which measures the strength and direction of the linear relationship between two variables.

The Pearson correlation coefficient ranges from -1 to +1, where -1 represents a perfect negative correlation, +1 represents a perfect positive correlation, and 0 represents no correlation. Since the students found a nearly perfect positive correlation, the coefficient of correlation would be close to +1.

This indicates a strong and direct relationship between the variables, meaning that as one variable increases, the other variable also tends to increase consistently. The nearly perfect positive correlation suggests that the two variables are closely related and move in sync with each other.

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The option that best approximates the maximum profit and number of price increases is (c) the maximum profit of $212.50 occurs at 5 price increases.

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The function is given as

P(x) = -0.5x2 + 5x + 200

From the question, we have the following points

From the above points, we have:

Maximum: (5, 212.5)

This means that the maximum profit of $212.50 occurs at 5 price increases.

Hence, the option that best approximates the maximum profit and number of price increases is (c) the maximum profit of $212.50 occurs at 5 price increases.

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The complete table of values of distance, midpoints and ordered pairs are:

Point     Ordered pair   Distance       Midpoint

A            (30, 0)              AD = 300      (30, 150)

B            (89, 190)          AB = 210        (59.5, 95)

C           (360, 300)        CD = 330      (195, 300)

D           (30, 300)

From the question, we have the following parameters that can be used in our computation:

AD = 300

CD = 330

AB = 210

Also, we have

A = (30, 0)

Point D is to the right of A and AD = 300

So, we have

D = (30, 0 + 300)

D = (30, 300)

Point C is upward D and CD = 330

So, we have

C = (30 + 330, 300)

C = (360, 300)

Calculate Ax using

cos(65) = Bx/210

So, we have

Bx = 210 * cos(65)

Bx = 88.75

Also, we have

sin(65) = By/210

So, we have

By = 210 * sin(65)

By = 190.32

This means that

B = (88.75, 190.32)

Approximate

B = (89, 190)

For the midpoints, we have

AB = 1/2(30 + 89, 190 + 0)

AB = (59.5, 95)

AD = 1/2(30 + 30, 300 + 0)

AD = (30, 150)

CD = 1/2(30 + 360, 300 + 300)

CD = (195, 300)

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8 meters per seconds simply implies covering a distance of 8 meters in 1 seconds. The situation describes speed. Therefore,

We will look for similar one in the options

The answer is 80 meters in 10 seconds.

Answer:

1= 8

3= 12

5= 16

7= 20

9= 24

Step-by-step explanation:

1+3=4x2=8

3+3=6x2=12

5+3=8x2=16

9+3=12x2=24

ANSWER:1=8

3=12

5=16

7=20

9=24

step -by - step explanation: 1+3=4×2=8

3+3=6×2=12

5+3=8×2=16

9+3=12×2=24

Answer:

A) 5/10

B) 3/4

C) 1/4

D) 4/4

Step-by-step explanation:

Hope this helps

let x=cost/lb of walnuts

let y=cost/lb of chocolate chips

..

3x+5y=16

6x+2y=22

6x+10y=32 (mult. eq by 2)

6x+2y=22

subtract:

8y=10

y=10/8=1.25

x=16-5y=9.75

cost/lb of walnuts=$1.25

cost/lb of chocolate chips=$9.75

The values that represent the possible distance, d, in miles, between Lincoln, NE, and the third city are given as follows:

300 < d < 699.

A set of measurements can represent a triangle if the sum of the two smaller measurements is greater than the greater measures.

The measurements for this problem are given as follows:

Then if 500 miles is the largest distance, we have that:

x can be between 300 and 500.

If x is the largest distance, we have that:

x can be between 501 and 699.

Then the range of possible distances is given as follows:

300 < d < 699.

(which are the distances for each case).

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Answer:

see picture

Step-by-step explanation:

The definite integral in this problem has the value given as follows:

B. 42.

The definite integral in the context of this problem is given as follows:

\(\int_0^2 (x^7 + 5) dx\)

Applying the power of x integral rule, the result of the integral is given as follows:

\(\frac{x^8}{8} + 5x\)

At x = 2, the numeric value of the integral is given as follows:

\(\frac{2^8}{8} + 5(2) = 42\)

At x = 0, the numeric value of the integral is given as follows:

0.

(as both terms involve a multiplication by x and x = 0).

Applying the Fundamental Theorem of Calculus, the result of the integral is given as follows:

42 - 0 = 42.

Hence option B is the correct option in the context of this problem.

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Answer: a

Step-by-step explanation:

i just did the quiz:))

Answer:

Step-by-step explanation:

A normal distribution curve with mean 110 and standard deviation 10.  Percentages of students scoring below 90, higher than 115, lower than 115, and between IQ score cut offs for the top 15% and the middle 36% of students were 105.7 and 114.3. The percentage of students falling between IQ scores of 95.6 and 105 is  23.5%..

To find the percentage of students who scored below a 90, we need to find the area under the normal distribution curve to the left of 90. Using a standard normal distribution table or calculator, we find that this area is about 0.16 or 16%.

To find the percentage of students who scored higher than a 115, using a standard normal distribution table or calculator, we find that this area is about 0.16 or 16%. To find the percentage of students who scored lower than a 115, we need to find the area under the normal distribution curve to the left of 115, which is about 84%.

To find the IQ score cutoff for the top 15% of students, using a standard normal distribution table or calculator, we find that the z-score is about 1.04. We can then use the formula z = (x - μ) / σ to solve for x, the IQ score cutoff:

1.04 = (x - 110) / 10

x = 121.04

So the IQ score cutoff for the top 15% of students is about 121.04.

To find the IQ scores, using a standard normal distribution table or calculator, we find that the z-scores are about -0.43 and 0.43. We can then use the formula z = (x - μ) / σ to solve for x, the IQ score cutoffs:

-0.43 = (x - 110) / 10

x = 105.7

0.43 = (x - 110) / 10

x = 114.3

So the IQ score cutoffs for the middle 36% of students are about 105.7 and 114.3.

To find the percentage of students who fall between IQ scores of 95.6 and 105, we find that the z-scores are about -1.04 and -0.46. Using a standard normal distribution table or calculator, we find that the area between these z-scores is about 0.235 or 23.5%.

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Answer:  The geometric series is convergent and the value is 16.

Step-by-step explanation:

How to illustrate the information?

Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:

S = t_1/(1 - r)

Note that:

3 = (4)(3/4)

9/4 = (3)(3/4

27/16 = (9/4)(3/4)

So this a geometric series with t_1 = 4 and r = 3/4. Therefore:

4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16

The correct option is 16.

Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum 4+3+ 9/4 +27/16 +???

choices are

1. 3/4

2. 12

3. 4

4. divergent

5. 16

Answer:

y = 4, x = 0

y = 1, x = -1

Step-by-step explanation:

\(y = 3 {x}^{2} + 6x + 4\)

\(y = - 3 {x}^{2} + 4\)

\( \: \)

Since both of them are equal to y, we can just equate them and solve.

\( \: \)

\(3 {x}^{2} + 6x + 4 = - 3 {x}^{2} + 4\)

\(3 {x}^{2} + 6x + 4 + 3 {x}^{2} - 4 = 0\)

\(6 {x}^{2} + 6x = 0\)

\(6x(x + 1) = 0\)

\(6x = 0\)

\(x = 0\)

\( \: \)

\(x + 1 = 0\)

\(x = - 1\)

\( \: \)

\(for \: x = 0\)

\(y = 3( {0})^{2} + 6(0) + 4\)

\(y = 4\)

\( \: \)

\(for \: x = - 1\)

\(y = 3( { - 1})^{2} + 6( - 1) + 4\)

\(y = 1\)

\( \: \)

\(values \: of \: x \: and \: y \: for \: the \: system \: of \: equations \: are\)

y = 4, x = 0

y = 1, x = -1

The system of equations has been solved and the solution set of the equation are (-1,1) and (0,4).

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The first equation given as,

y = 3x² + 6x + 4

The second equation given as,

y = -3x² + 4

Equate the value of y from both equation as,

3x² + 6x + 4=-3x²+4

3x²+3x²+6x+4-4=0

6x²+6x=0

6x(x+1)=0

x=0:x=-1

Put these values of x, in first equation,

y = 3(-1)^2 + 6(-1) + 4

y = 3 - 6 + 4

y=1

Put 0 on the place of x,

y = 3(0)^2 + 6(0) + 4

y = 0 +0+ 4

y=4

Thus, the system of equations has been solved and the solution set of the equation are (-1,1) and (0,4).

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Answer:

-2

Step-by-step explanation:

Answer:

44%

Step-by-step explanation:

The answer is D. R2, also known as the coefficient of determination, shows the percentage of the total variation in the dependent variable, Y, that is explained by the explanatory variable.

Of the four answer choices provided, only one is true of R2. Answer D is the correct statement regarding R2. It indicates that R2 shows the percentage of the total variation in the dependent variable, Y, that is explained by the explanatory variable. This statement is commonly used to evaluate the strength of a linear relationship between two variables. It is important to note that a high R2 value does not necessarily mean that the explanatory variable causes the dependent variable, but it does suggest a strong correlation between the two. This answer is provided in one paragraph consisting of three sentences.

In other words, R2 measures the proportion of the variance in the dependent variable that can be predicted from the independent variable(s). A higher R2 value indicates a better fit of the data, while a lower value suggests that the model may not explain much of the variation in the dependent variable.

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The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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Answer:

which class question is this

A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

The distance between opposite corners of the farmer's rectangular field is 97 yards.

The distance between opposite corners of a rectangular field can be calculated using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the opposite corners of the rectangular field form the two shorter sides of a right triangle, and the distance between them is the hypotenuse.

To apply the Pythagorean theorem, we can label the length of the field (72 yards) as one side, and the width of the field (65 yards) as the other side. The distance between the opposite corners (the hypotenuse) can then be calculated as follows:

Distance between opposite corners = √(length² + width²)

= √(72² + 65²)

= √(5184 + 4225)

= √9409

= 97

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Answer:

x = 6

Step-by-step explanation:

Answer:

when I look at the answer, it's letter C, I'm just not sure if it's right

Answer: it is trial.

Answer:

x = 12

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define equation

2x + 8 = 32

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

(X, Y) = (2, 1)

Step-by-step explanation:

Equation put together is

-2x - 3 (5x - 9) = -7